Associative Property of Multiplication

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped in multiplication does not change the product. For example, (a x b) x c = a x (b x c).

Front

Calculate: 8 x 7 x 1 using the Associative Property.

Back

56

Front

Evaluate: (2 x 3) x 5 using the Associative Property.

Back

30

Front

What is the result of 3 x (2 x 4) using the Associative Property?

Back

24

Front

Using the Associative Property, what is 4 x (2 x 5)?

Back

40

Front

Find the product of 2 x (6 x 4) using the Associative Property.

Back

48

Front

How does the Associative Property apply to the expression 5 x (3 x 2)?

Back

It can be rearranged to (5 x 3) x 2, and both will yield the same product, which is 30.

Front

If a = 2, b = 3, and c = 4, what is the value of (a x b) x c?

Back

The value is 24, since (2 x 3) x 4 = 6 x 4 = 24.

Front

What is an example of the Associative Property of Multiplication with three numbers?

Back

An example is (1 x 2) x 3 = 1 x (2 x 3) = 6.

Front

Can the Associative Property of Multiplication be applied to more than three numbers?

Back

Yes, it can be applied to any number of factors, e.g., (a x b) x (c x d) = a x (b x (c x d)).